Pith Number

pith:K3YCJDXV

pith:2010:K3YCJDXVHLZHEXPJH4Y56PHCJF

not attested not anchored not stored refs pending

A Universality Property of Gaussian Analytic Functions

Andrew Ledoan, Marco Merkli, Shannon Starr

arxiv:1003.1951 v2 · 2010-03-09 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3YCJDXVHLZHEXPJH4Y56PHCJF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:32:01.762313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f0248ef53af2725de93f31df3ce24968747c75a05b7f866710c797a2a9476d

Aliases

arxiv: 1003.1951 · arxiv_version: 1003.1951v2 · doi: 10.48550/arxiv.1003.1951 · pith_short_12: K3YCJDXVHLZH · pith_short_16: K3YCJDXVHLZHEXPJ · pith_short_8: K3YCJDXV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/K3YCJDXVHLZHEXPJH4Y56PHCJF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 56f0248ef53af2725de93f31df3ce24968747c75a05b7f866710c797a2a9476d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acab177d4532871eed3a5fc03365badc60660116c66f4d18d128f5c45939df6f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-09T18:55:45Z",
    "title_canon_sha256": "721a687e198ef7943d6e7cc07b7db5c1ab616206e8bfca96c15e422ca6d1ddcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1951",
    "kind": "arxiv",
    "version": 2
  }
}